SarkariPYQ

SSC CGL 2022 PYQ — Question 65

SSC CGL - 02 Dec 2022 - Shift 3 • Quantitative Aptitude • Q65

Back to paper

Simplify the following.

762×762×762+316×316×316762×762−762×316+316×316{{762 × 762 × 762 + 316 × 316 × 316} \over762×762-762×316+316×316}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1078.

Formula used:

a3 + b3 = (a + b)(a2 - ab + b2)             ---- (1)

Calculations:

⇒ 762×762×762+316×316×316762×762−762×316+316×316{{762 × 762 × 762 + 316 × 316 × 316} \over762×762-762×316+316×316}

Can be written as;

⇒ (762×762−762×316+316×316)(762+316)762×762−762×316+316×316{{(762×762-762×316+316×316)(762 + 316)} \over762×762-762×316+316×316}

⇒ 762 + 316 = 1078